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What is the Least Common Multiple of 17628 and 17636?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 17628 and 17636 is 77721852.

LCM(17628,17636) = 77721852

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Least Common Multiple of 17628 and 17636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17628 and 17636, than apply into the LCM equation.

GCF(17628,17636) = 4
LCM(17628,17636) = ( 17628 × 17636) / 4
LCM(17628,17636) = 310887408 / 4
LCM(17628,17636) = 77721852

Least Common Multiple (LCM) of 17628 and 17636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17628 and 17636. First we will calculate the prime factors of 17628 and 17636.

Prime Factorization of 17628

Prime factors of 17628 are 2, 3, 13, 113. Prime factorization of 17628 in exponential form is:

17628 = 22 × 31 × 131 × 1131

Prime Factorization of 17636

Prime factors of 17636 are 2, 4409. Prime factorization of 17636 in exponential form is:

17636 = 22 × 44091

Now multiplying the highest exponent prime factors to calculate the LCM of 17628 and 17636.

LCM(17628,17636) = 22 × 31 × 131 × 1131 × 44091
LCM(17628,17636) = 77721852